An asymptotic property of the Camassa-Holm equation on the half-line

Boundary value problems

Jia Jia¹  Shunguang Kang¹ 

[1] College of Information Engineering, Tarim University, Alar, P.R. China

关键词: Camassa-Holm equation;    asymptotic density;    momentum density;    asymptotic property;    Dirac measures;    35Q53;    37K40;   

DOI  :  10.1186/s13661-016-0726-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The paper addresses the asymptotic properties of Camassa-Holm equation on the half-line. That is, using the method of asymptotic density, under the assumption that it is unique, the paper proves that the positive momentum density of the Camassa-Holm equation is a combination of Dirac measures supported on the positive axis. This means that as time goes to infinity, the momentum density concentrates in small intervals moving right with different constant speeds.

【 授权许可】

CC BY